Search a number
-
+
148775741657 is a prime number
BaseRepresentation
bin1000101010001110111…
…0011010100011011001
3112020000102210202010222
42022203232122203121
54414143042213112
6152202512245425
713514541636644
oct2124356324331
9466012722128
10148775741657
11581060337a4
1224a00840875
131104ca4353a
1472b4d48a5b
153d0b3a1372
hex22a3b9a8d9

148775741657 has 2 divisors, whose sum is σ = 148775741658. Its totient is φ = 148775741656.

The previous prime is 148775741549. The next prime is 148775741669. The reversal of 148775741657 is 756147577841.

148775741657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116870994496 + 31904747161 = 341864^2 + 178619^2 .

It is a cyclic number.

It is not a de Polignac number, because 148775741657 - 236 = 80056264921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 148775741657.

It is not a weakly prime, because it can be changed into another prime (148775741687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 74387870828 + 74387870829.

It is an arithmetic number, because the mean of its divisors is an integer number (74387870829).

Almost surely, 2148775741657 is an apocalyptic number.

It is an amenable number.

148775741657 is a deficient number, since it is larger than the sum of its proper divisors (1).

148775741657 is an equidigital number, since it uses as much as digits as its factorization.

148775741657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 46099200, while the sum is 62.

The spelling of 148775741657 in words is "one hundred forty-eight billion, seven hundred seventy-five million, seven hundred forty-one thousand, six hundred fifty-seven".